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Finding the Third Proportional to 201,108 and 397,140

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Solution

The third proportional to 201,108 and 397,140 is: 784,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,108 : 397,140 = 397,140 : x
  2. Step 2: Convert to fraction form
    201,108/397,140 = 397,140/x
  3. Step 3: Cross multiply
    201,108x = 397,140 × 397,140
  4. Step 4: Simplify right side
    201,108x = 157,720,179,600
  5. Step 5: Solve for x
    x = 157,720,179,600/201,108
  6. Step 6: Final answer
    x = 784,256.12

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.